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2 years ago

Oder the following expressions

Mathematics

1 answer:

Afina-wow [57]2 years ago

6 0

A +(- c) :

a is -1 and c is 3, so it would be:
-1+(-3) = -4

c-(-b) :

c is 3 and b is 2, so it would be:
3-(-2) = 5

b :
b is 2 and there’s no addition or subtraction that needs to be done here

we have -4, 5, and 2 and going from least to greatest it’s : -4 < 2 < 5

so just look at which values gave us those answers and that would be:
a+(-c) < b < c-(-b)

so the final answer is a+(-c) < b < c-(-b)

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Read 2 more answers

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Answer:

a. The test statistic is 2 and we conclude that the new ad campaign is not signficantly better.

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They used to be able to sell to 50% of those who saw their ads. Test if the new campaign is better.

At the null hypothesis, we test is it is the same, that is, the proportion is the same.

$H_0: p = 0.5$

At the alternate hypothesis, we test if it is significantly better, that is, the proportion is above 50%.

$H_1: p > 0.5$

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$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

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0.5 is tested at the null hypothesis:

This means that $\mu = 0.5, \sigma = \sqrt{0.5*0.5} = 0.5$

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This means that $n = 100, X = \frac{60}{100} = 0.6$

Test statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

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$z = 2$

The test statistic is 2.

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion above 0.6, which is 1 subtracted the by p-value of z = 2.

Looking at the z-table, z = 2 has a p-value of 0.9772.

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